What is the sum from n=1 to infinity}(((-1)^{(n-1) of))/(((2n-1)^3)) ?

The sum from n=1 to infinity}(((-1)^{(n-1) of))/(((2n-1)^3)) is converges

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sum from n=1 to infinity}(((-1)^{(n-1) of))/(((2n-1)^3))

n = 1 \sum \infty \frac{( ( - 1 ) ^{(n - 1)} )}{( ( 2 n - 1 ) ^{3} )}

converges

Solution steps

n = 1 \sum \infty \frac{( - 1 ) ^{n - 1}}{( 2 n - 1 ) ^{3}}

Apply Alternating Series Test:

converges

= converges

\int \frac{x ^{2} - 4 x + 5}{( x ^{2} - 1 ) ( x + 3 )} d x

\int_{1}^{4} x ln (x) d x

\int sec (x) csc (x) d x

\int x^{2} - 4 x d x

What is the sum from n=1 to infinity}(((-1)^{(n-1) of))/(((2n-1)^3)) ?
The sum from n=1 to infinity}(((-1)^{(n-1) of))/(((2n-1)^3)) is converges